This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A377635 #30 Nov 21 2024 17:55:58
%S A377635 1,5,6,5,1,7,6,4,2,7,4,9,6,6,5,6,5,1,8,1,8,0,8,0,6,2,3,4,6,5,4,2,3,9,
%T A377635 1,6,4,5,6,0,0,6,9,7,0,6,2,0,2,2,6,3,2,7,7,7,1,5,7,6,4,8,3,7,8,3,5,4,
%U A377635 2,1,3,5,2,3,0,9,3,7,1,9,1,3,3,7,3,3,9,6,2,0
%N A377635 Decimal expansion of 1/(exp(2) - 1).
%H A377635 Michael Penn, <a href="https://www.youtube.com/watch?v=9_Klka9x4zg">One of my favorite identities</a>, YouTube video, 2023.
%H A377635 Michael Ian Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">Shamos's catalog of the real numbers</a>, 2011, p. 218.
%H A377635 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%H A377635 <a href="/index/Z#zeta_function">Index entries for sequences related to zeta function</a>.
%F A377635 Equals 1/(A072334 - 1).
%F A377635 Equals Sum_{k >= 1} (-1)^(k+1)*zeta(2*k)/Pi^(2*k).
%F A377635 From _Amiram Eldar_, Nov 08 2024: (Start)
%F A377635 Formulas from Shamos (2011):
%F A377635 Equals (coth(1) - 1)/2 = (A073747 - 1)/2.
%F A377635 Equals Sum_{k>=1} exp(-2*k).
%F A377635 Equals Sum_{k>=1} 1/(k^2*Pi^2 + 1).
%F A377635 Equals Sum_{k>=0} B(k)*2^(k-1)/k!, where B(k) = A027641(k)/A027642(k) is the k-th Bernoulli number. (End)
%e A377635 0.1565176427496656518180806234654239164560069706202...
%t A377635 First[RealDigits[1/(Exp[2] - 1), 10, 100]]
%o A377635 (PARI) 1/(exp(2) - 1) \\ _Amiram Eldar_, Nov 08 2024
%Y A377635 Cf. A000796, A001113, A072334.
%Y A377635 Cf. A027641, A027642, A073747.
%K A377635 nonn,cons,easy
%O A377635 0,2
%A A377635 _Paolo Xausa_, Nov 05 2024